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Simplifying 4x + 1 = 2(x + 2) Reorder the terms: 1 + 4x = 2(x + 2) Reorder the terms: 1 + 4x = 2(2 + x) 1 + 4x = (2 * 2 + x * 2) 1 + 4x = (4 + 2x) Solving 1 + 4x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 4x + -2x = 4 + 2x + -2x Combine like terms: 4x + -2x = 2x 1 + 2x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 2x = 4 + 0 1 + 2x = 4 Add '-1' to each side of the equation. 1 + -1 + 2x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 4 + -1 2x = 4 + -1 Combine like terms: 4 + -1 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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